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LCM of 905, 187, 187, 182

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 905, 187, 187, 182 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 905, 187, 187, 182. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,187,187,182

Given numbers are 905,187,187,182

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 905,187,187,182 is 30800770.

Find LCM of 905,187,187,182 with Prime Factorization


11 905, 187, 187, 182
17 905, 17, 17, 182
905, 1, 1, 182

Multiply the prime numbers at the bottom and the left side.

11 x 17 x 905 x 1 x 1 x 182 = 30800770

Therefore, the lowest common multiple of 905,187,187,182 is 30800770.

LCM Formula to Find Lowest Common Multiple of 905,187,187,182

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

905 x 187 x 187 x 182 = 5759743990

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

905 : 1, 5, 181, 905

187 : 1, 11, 17, 187

187 : 1, 11, 17, 187

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,187,187,182, is 1.

Now, the common factors can be found like this.

905:5x 181

187:11x 17

187:11x 17

182:2x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 17 = 187

Therefore, the value for common factors is 187.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 5759743990/(1x187)

LCM = 5759743990/187

LCM = 30800770

Thus, we can understand that the LCM of 905,187,187,182 is 30800770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 905, 187, 187, 182

1. What is the LCM of 905, 187, 187, 182?

Answer: LCM of 905, 187, 187, 182 is 30800770.

2. How to calculate the LCM of 905, 187, 187, 182?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 905, 187, 187, 182.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.